Diagonality in \(C^*\)-algebras

DOI10.1007/BF01159656zbMath0658.46051OpenAlexW2004639029MaRDI QIDQ1111134

Gerard J. Murphy

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173966

zbMATH Keywords

idealsnormal operatorsapproximate identitydiagonal operatorsdiagonality\(\sigma\)-p-unitalhermitian partseparable ideal of a \(C^*\)-algebratheorem of Weyl

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05)

Related Items (11)

Extensions of AH algebras with the ideal property ⋮ Diagonalizing ``compact operators on Hilbert \(W^*\)-modules ⋮ Diagonalization of compact operators in Hilbert modules over finite \(W^*\)-algebras ⋮ The ideal property, the projection property, continuous fields and crossed products ⋮ The corona algebra of the stabilized Jiang-Su algebra ⋮ Abelian strict approximation in $AW^*$-algebras and Weyl-von Neumann type theorems ⋮ \(C^*\)-algebras of real rank zero ⋮ Generalized inductive limits and maximal stably finite quotients of \(C^\ast \)-algebras ⋮ On ideals and quotients of \(A{\mathcal T}\)-algebras ⋮ Diagonalization of compact operators on Hilbert modules over \(C^*\)-algebras of real rank zero ⋮ Diagonalizing operators in Hilbert modules over \(C^*\)-algebras

Cites Work

• Skew products of relations and the structure of simple \(C^ *\)-algebras
• Ideal perturbations of elements in $C^*$-Algebras.
• An Extension of the Weyl-Von Neumann Theorem to Normal Operators
• Continuous Functions of Hermitian Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Diagonality in \(C^*\)-algebras